Moondollars is a coffee franchise that has many coffee stores all over the world. MoonDollars coffee is investigating a linear regression model to predict the annual income for a store based on the population of the city where the store is located. In the proposed regression model, annual store income is the response variable and population of the city is the explanatory variable. A random sample of 20 stores is selected and measurements are observed.
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Population
('000s) Annual income
('000s $)
1,340 1,352
3,440 2,333
1,340 1,446
3,310 2,647
1,270 1,379
430 1,126
2,170 1,711
2,130 1,703
2,480 1,369
1,250 110
2,840 2,762
720 853
980 721
2,130 1,116
2,190 1,567
2,070 1,556
1,650 1,694
760 793
890 780
1,980 1,209
a) Calculate the point prediction for the value x = 1,500. Give your answer as a whole number.
y^ =
b) Give the 95% prediction interval for the value x = 1,500. Give your answers as whole numbers.
≤ y^ ≤